Question

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If a(y+z)=b(z+x)=c(x+y) and out of a,b,c no two of them are equal then show that ,y-z z-x. x-y.
____=_____=________. .
a(b-c). b(c-a). c(a-b)

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Answer 1

Answer:

Refer to the attachment ✔️

Answer 2

Answer:

Hello . Good "Early" Morning

Step-by-step explanation:

Let a(y+z)=b(z+x)=c(x+y)=k.

Then y+z=

a

k

....(1), z+x=

b

k

.....(2) and x+y=

c

k

......(3).

Now, (2)− (1) gives,

x−y=

ab

k(b−a)

.

Similarly we'll have, y−z=

bc

k(b−c)

, z−x=

ac

k(c−a)

.

Then,

a(b−c)

y−z

=

abc

k

,

b(c−a)

z−x

=

abc

k

and

c(a−b)

x−y

=

abc

k

.

Then we've,

a(b−c)

y−z

=

b(c−a)

z−x

=

c(a−b)

x−y

.

Answered By :- Veeru .

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